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Finding the Fourth Proportional to 342.22, 513.49 and 188.14

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Solution

The fourth proportional to 342.22, 513.49 and 188.14 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.22 : 513.49 = 188.14 : x
  2. Step 2: Convert to fraction form
    342.22/513.49 = 188.14/x
  3. Step 3: Cross multiply
    342.22x = 513.49 × 188.14
  4. Step 4: Simplify right side
    342.22x = 96,608.01
  5. Step 5: Solve for x
    x = 96,608.01/342.22
  6. Step 6: Final answer
    x = 282.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.